Geometric manipulation of a decoherence-free subspace in atomic ensembles
Dongni Shao Chen, Si Luo, Ying-Dan Wang, Stefano Chesi, Mahn‐Soo Choi · Physical Review A · 2022
We consider an ensemble of atoms with $\mathrm{\ensuremath{\Lambda}}$-type level structure trapped in a single-mode cavity, and propose a geometric scheme of coherent manipulation of quantum states on the subspace of zero-energy states within the quantum Zeno subspace of the system. We find that the particular subspace inherits the decoherence-free nature of the quantum Zeno subspace and features a symmetry-protected degeneracy, fulfilling all the conditions for a universal scheme of arbitrary unitary operations on it.